org.apache.commons.math3.analysis.integration.gauss
Class LegendreParametricTest

java.lang.Object
  org.apache.commons.math3.analysis.integration.gauss.GaussianQuadratureAbstractTest
      org.apache.commons.math3.analysis.integration.gauss.LegendreParametricTest

public class LegendreParametricTest
extends GaussianQuadratureAbstractTest

Test of the LegendreRuleFactory. This parameterized test extends the standard test for Gaussian quadrature rule, where each monomial is tested in turn. Parametrization allows to test automatically 0, 1, ... , MAX_NUM_POINTS quadrature rules.

Version:

$Id$

MAX_NUM_POINTS

public static final int MAX_NUM_POINTS

The highest order quadrature rule to be tested.

See Also:

Constant Field Values

LegendreParametricTest

public LegendreParametricTest(int numberOfPoints,
                              int maxDegree,
                              double eps,
                              double numUlps)

Creates a new instance of this test, with the specified number of nodes for the Gauss-Legendre quadrature rule.

Parameters:

numberOfPoints - Order of integration rule.

maxDegree - Maximum degree of monomials to be tested.

eps - Value of ε.

numUlps - Value of the maximum relative error (in ulps).

getParameters

public static Collection<Object[]> getParameters()

Returns the collection of parameters to be passed to the constructor of this class. Gauss-Legendre quadrature rules of order 1, ..., MAX_NUM_POINTS will be constructed.

Returns:

the collection of parameters for this parameterized test.

getExpectedValue

public double getExpectedValue(int n)

Description copied from class: GaussianQuadratureAbstractTest

Returns the expected value of the integral of the specified monomial. The integration is carried out on the natural interval of the quadrature rule under test.

Specified by:

getExpectedValue in class GaussianQuadratureAbstractTest

Parameters:

n - Degree of the monomial.

Returns:

the expected value of the integral of xⁿ.